TS ICET 2015

Instructions

A question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the statements are sufficient to answer the questions.

Question 1

What are the numbers a and b ?
I. a and b are relatively prime.
II. L.C.M of a, b is 2550

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Question 2

What is the rate of simple interest on a loan of ₹ 20,000 ?
I. ₹ 23,000 is to be paid at the end of the first year.
II. There is a penal interest of 10% if the loan is not paid at the end of the first year.

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Question 3

Suppose f(x) is a polynomial. Is x - 1 a factor of $$f(x^2 + 7)$$?
I. $$(x - 7) \mid f(x)$$
II. $$(x - 11) \mid f(x - 3)$$

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Question 4

What is the value of xy?
I. $$x^2 = 9$$
II. y = 0

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Question 5

Are the triangles $$\triangle ABE$$ and $$\triangle CDE$$ given below congruent ?
I. $$AB \parallel CD$$
II. $$\angle AEB = \angle CED$$

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Question 6

If $$0 \in \left\{x, y\right\}$$, then what is the value of x + y ?
I. $$x \neq y$$
II. $$x^8 + y = y^8 + x$$

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Question 7

Is $$525 \times k$$ a perfect square?
I. $$21 \mid k$$
II. k = 21

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Question 8

If n(A) denotes the number of elements in the set A, then what is $$n(A \cup B)$$ ?
I. n(A) = 35
II. n(B) = 28

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Question 9

What is the value of the integer $$n \geq 0$$ ?
I. $$25^n$$ is odd.
II. $$30^n$$ is odd.

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Question 10

For the integers a, b and c with a = bc, is a > b ?
I. $$\mid a \mid = \mid b \mid$$
II. $$c^2 = 9$$

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